a.) lim(x [|x|] + 1) =? b.) lim 1-cos(tanx) =? tanx lalete the imtc of thefnctions nere

Q: 4 - 4 cos (60) 0 0 0 tan (60) 3. Find lim

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Q: Use a graph to find a number 8 such that if | - π 4 < then tan(x) - 1| < 0.2.

A: Step 1:

Q: 8-26. Let f and g be the functions plotted below on the interval [0, 6]. 3 1 f(x) y = g(x) 10…

A: f(t)-g(t)&lt;0 for 0&lt;t&lt;0.5 f(t)-g(t)&gt;0 for 0.5&lt;t&lt;3  f(t)-g(t)&lt;0 for 3&lt;t&lt;5…

Q: Q.4: (A) Show that Lim t'i = 4 i t >2

A: The given symbol is the symbol of the limit of the function at the given point of limit.…

Q: Compute the following: x2-25 lim x-5 i. x-5 lim sin x 1-cos x ii.

A: evaluate the limit in following way:-

Q: 1 2. lim cOs X -

A: The given function rewrite as

Q: 1 o. = 0. Show that lim x² sin -| *

A: Use the property that -1≤siny≤1. Take y=1x, then -1≤sin1x≤1

Q: lim(esc ( c(0) - cot (0)) is equal to: 00 -1 -00 1 None of above

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Q: -1 1) [₁ x tan ‘xd.r Evaluate (a)

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Q: Show that

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Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

Q: 4 sin? r d) lim a-0 3x tanx

A: see below the answerHere we use the L'Hospital Rule islimx→af(x)g(x) is of the form 00 then…

Q: Q1\ Graph and find the domain and range of: a. F(x)=X+v4 – x2 b. X+Y2 =0

A: Note - according to our guidelines we can answer only  first question and rest can be reposted.I am…

Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

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Q: Find the limits

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Q: o. lin sin () X +00

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Q: If x sinx < 1 2 - 2 cos x hold for all values of x close to zero. Find limx¬0 xsinx ? 2-2cosx

A: 1-x26&lt;xsinx2-2cosx&lt;1 holds for all values of x close to zero. Now, limx→01-x26=1-0=1 &amp;…

Q: To which of the following will lim O lim(1+cosx) x-0 O lim (2cosx) x-0 2lim (cosx + cos²x) x-0 O…

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Q: (2) lim (cos x)¹/x² b Find the limits for values of x in radian system: (1) lim (cos x) ¹/x² x-0

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Q: Evaluate. (a) limit as x goes to 0 -&gt; (tanx)/(2x) (b) limit as x goes to 5 -&gt; (-1)/(x-5)2 (c)…

A: a) The limit can be evaluated as.

Q: -1 Evaluate lim 3x А. 2/3 C. 1/3 В.-2 D. -3

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Q: Verify the identity algebraically. Use the table feature of a graphing utility to check your result…

A: LCM (least common multiple)  tan x = sin x / cos x cot x = cos x/ sin x  Also, tan x * cot x = 1

Q: 1. Evaluate lim X-0 A. 0 B. 31 tan ³3x C. 27 D.00

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Q: Given the functions Ax) = 3* and g(x) - cos X determine the range of the function h(x) - {x) – g(x)

A: The given problem is to find the range of function h(x) = f(x) - g(x) Given f(x) = 3x and g(x)=…

Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: 7. Find each limit. . a) lim (2x +Vx² +5 7a. x-0 6x – cosx b) lim- x-* x+sin 3.x 7b. 2x c) lim 7c.…

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Q: 1+3x COS x - 2.) lim tan x

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.